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Simplifying x + (y + z) = (x + y) + z Remove parenthesis around (y + z) x + y + z = (x + y) + z Remove parenthesis around (x + y) x + y + z = x + y + z Add '-1x' to each side of the equation. x + y + -1x + z = x + y + -1x + z Reorder the terms: x + -1x + y + z = x + y + -1x + z Combine like terms: x + -1x = 0 0 + y + z = x + y + -1x + z y + z = x + y + -1x + z Reorder the terms: y + z = x + -1x + y + z Combine like terms: x + -1x = 0 y + z = 0 + y + z y + z = y + z Add '-1y' to each side of the equation. y + -1y + z = y + -1y + z Combine like terms: y + -1y = 0 0 + z = y + -1y + z z = y + -1y + z Combine like terms: y + -1y = 0 z = 0 + z z = z Add '-1z' to each side of the equation. z + -1z = z + -1z Combine like terms: z + -1z = 0 0 = z + -1z Combine like terms: z + -1z = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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